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n 0 -Order Weighted Pseudo Δ-Almost Automorphic Functions and Abstract Dynamic Equations

Author

Listed:
  • Chao Wang

    (Department of Mathematics, Yunnan University, Kunming 650091, China)

  • Ravi P. Agarwal

    (Distinguished University Professor of Mathematics, Florida Institute of Technology, 150 West University Boulevard, Melbourne, FL 32901, USA
    Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363-8202, USA)

  • Donal O’Regan

    (School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland)

  • Gaston M. N’Guérékata

    (Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USA)

Abstract

In this paper, we introduce the concept of a n 0 -order weighted pseudo Δ n 0 δ -almost automorphic function under the matched space for time scales and we present some properties. The results are valid for q -difference dynamic equations among others. Moreover, we obtain some sufficient conditions for the existence of weighted pseudo Δ n 0 δ -almost automorphic mild solutions to a class of semilinear dynamic equations under the matched space. Finally, we end the paper with a further discussion and some open problems of this topic.

Suggested Citation

  • Chao Wang & Ravi P. Agarwal & Donal O’Regan & Gaston M. N’Guérékata, 2019. "n 0 -Order Weighted Pseudo Δ-Almost Automorphic Functions and Abstract Dynamic Equations," Mathematics, MDPI, vol. 7(9), pages 1-25, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:775-:d:260162
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    References listed on IDEAS

    as
    1. Wang, Chao & Agarwal, Ravi P., 2015. "Uniformly rd-piecewise almost periodic functions with applications to the analysis of impulsive Δ-dynamic system on time scales," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 271-292.
    Full references (including those not matched with items on IDEAS)

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